Perturbations in the three dimensional Kolmogorov model

DOI10.1016/0025-5564(86)90129-XzbMath0598.92018MaRDI QIDQ1080389

Georgi Boyadzhiev, Md. Abdus Sattar

Publication date: 1986

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

small perturbationshyperbolic equilibriaunperturbed systemperturbed Kolmogorov modelstability properties of simple equilibria

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ecology (92D40)

Related Items (2)

Bifurcations in the three dimensional Kolmogorov model ⋮ Lipschitz stability criteria for a generalized delayed Kolmogorov model.

Cites Work

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• Persistence in models of three interacting predator-prey populations
• A perturbed Kolmogorov-type model for the growth problem
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• The struggle for life. IV: Two predators sharing a prey
• Global stability of two species systems
• Classification and description of the singular points of a system of three linear differential equations
• Perturbed higher order population models
• Perturbation of Two-Dimensional Predator-Prey Equations
• Perturbation of Two-Dimensional Predator-Prey Equations with an Unperturbed Critical Point
• Generalized Predator-Prey Oscillations in Ecological and Economic Equilibrium

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